展开 (sec(2(x+y))-sec(2x))/y

解答

展开

\frac{sec ( 2 ( x + y ) ) - sec ( 2 x )}{y}

\frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

求解步骤

\frac{sec ( 2 ( x + y ) ) - sec ( 2 x )}{y}

乘开

2 (x + y) : 2 x + 2 y

= \frac{sec ( 2 x + 2 y ) - sec ( 2 x )}{y}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{sec ( 2 x + 2 y ) - sec ( 2 x )}{y} = \frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

= \frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

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